7835880 has 64 divisors (see below), whose sum is σ = 25320960. Its totient is φ = 1928448.

The previous prime is 7835873. The next prime is 7835881. The reversal of 7835880 is 885387.

7835880 = T₄₀₂ + T₄₀₃ + ... + T₄₈₁.

7835880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7835880² = 122802030748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (7835881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952 + ... + 4071.

It is an arithmetic number, because the mean of its divisors is an integer number (395640).

Almost surely, 2^7835880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7835880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12660480).

7835880 is an abundant number, since it is smaller than the sum of its proper divisors (17485080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7835880 is a wasteful number, since it uses less digits than its factorization.

7835880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 7835880 is about 2799.2641890325. The cubic root of 7835880 is about 198.6228726994.

The spelling of 7835880 in words is "seven million, eight hundred thirty-five thousand, eight hundred eighty".